Implication lattices. (English. Russian original) Zbl 0301.02065
Algebra Logic 12(1973), 249-261 (1975); translation from Algebra Logika 12, 445-467 (1973).
MSC:
| 03G05 | Logical aspects of Boolean algebras |
| 06D05 | Structure and representation theory of distributive lattices |
| 03B45 | Modal logic (including the logic of norms) |
References:
| [1] | L. L. Maksimova, ”On models of the system E,” Algebra i Logika,6, No. 6, 5–20 (1967). · Zbl 0223.02016 |
| [2] | L. L. Maksimova, ”On the calculus of strict entailment,” Algebra i Logika,7, No. 2, 55–76 (1968). · Zbl 0201.00501 |
| [3] | L. L. Maksimova, ”An interpretation and separation theorems for the logical systems E and R,” Algebra i Logika,10, No. 4, 376–392 (1971). · Zbl 0242.02028 |
| [4] | H. Rasiowa and R. Sikorskii, Mathematics of Metamathematics, Monografie Matematiczne PAN, Warsaw (1963). |
| [5] | L. Fuchs, Partially Ordered Algebraic Systems, Addison-Wesley-Pergamon (1963). · Zbl 0137.02001 |
| [6] | R. K. Meyer, ”E and S4,” Notre Dame J. Form. Log.,11, No. 2, 181–198 (1970). · Zbl 0182.00504 · doi:10.1305/ndjfl/1093893935 |
| [7] | R. K. Meyer, ”Conservative extension in relevant implication,” Studia Logika,31, 39–46 (1973). · Zbl 0273.02019 · doi:10.1007/BF02120525 |
| [8] | R. Routley and R. K. Meyer, ”The semantics of entailment, III,” J. Philos. Logic,1, No. 2, 192–208 (1972). · Zbl 0317.02019 · doi:10.1007/BF00650498 |
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